Due to his q and w, if you build IE first, you do more damage than any other carry naturally(assuming you can hit your aim shots).
I build ez- 2 dorians and boots(if I have healing support, dorians first), if I'm struggling with getting poked, vamp, sheen if I'm ahead, IE if they want to go toe to toe with me.
My end game build for ez- AS boots, IE, TF, BT, ghostblade, last item is situational, bt and ghostblade swap order depending on if they have armor or not. Lat item- nuke(hp stackers or just don't do enough damage)>madreds, a bit of all around durability>GA, surviving large burst(not hp based burst)>warmog, too much ad>thornmail.
Keep in mind, TF works best if you don't hit someone with your q first(q eats TF proc). Auto attack after w, e or ult, then blast thru your spells. This gives your auto, which can crit, the benefit of TF.